In this paper, we connect the social network theory on centrality measures to the economic theory of preferences and … utility. Using the fact that networks form a special class of cooperative TU-games, we provide a foundation for the degree … measure as a von Neumann-Morgenstern expected utility function reflecting preferences over being in different positions in …

We find the asymptotics of the value function maximizing the expected utility of discounted dividend payments of an … initial reserves tend to infinity. We focus on the power and logarithmic utility functions. We also perform some numerical …

We identify restrictions on a decision maker's utility function that are both necessary and sufficient to preserve … dominance reasoning in each of two versions of the Two-Envelope Paradox (TEP). For the classical TEP, the utility function must … satisfy a certain recurrence inequality. For the St. Petersburg TEP, the utility function must be bounded above asymptotically …

, or temperate) von Neumann-Morgenstern utility functions. The very idea to devise those conditions is based on the reverse … claim of an old observation by Arrow that a risk-averse expected-utility maximizer will always accept a sufficiently small … stake in any positive expected-value bet if her von Neumann-Morgenstern utility function is differentiable …

A utility function is an important tool for representing a DM’s preference. We adjoin utility functions to multi …-objective optimization problems. In current studies, usually one utility function is used for each objective function. Situations may arise … for a goal to have multiple utility functions. Here, we consider a constrained multi-objective problem with each objective …

separable utility. Applications of weighted utility can be found in choice under risk (expected utility) and uncertainty … (subjective expected utility), intertemporal choice (discounted utility) and welfare economics (utilitarian social welfare … function). This paper presents an improved behavioral characterization (preference axiomatization) of weighted utility. It is …